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3 years ago

Find the volume of a rectangular prism with a base that has an area of 22 square centimeter and a height of 8 centimeters.

Mathematics

1 answer:

Jlenok [28]3 years ago

3 0

Answer:

176cm³

Step-by-step explanation:

Multiply area of base times height

22cm² × 8cm = 176cm³

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Write 53,278 in Expanded Form

noname [10]

53,278 can be written as:

50,000 + 3,000 + 200 + 70 + 8

6 0

3 years ago

What is the slope of the following graph? Plzz help <3

andrew-mc [135]

Answer:

-2/5

Step-by-step explanation:

The solution comes rom the formula for finding the slope of a graph: Rise/Run

In this case, the rise would be -2, because it is going down the graph 2 points. The run would be 5, because it is going to the right 5 points. Hopefully this will help you in the future.

4 0

2 years ago

manuel deposits $10000 for 12 yr in an account paying 4% compounded annually.He then puts this total amount on deposit in anothe

Naddik [55]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$10000\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &12
\end{cases}
\\\\\\
A=10000\left(1+\frac{0.04}{1}\right)^{1\cdot 12}\implies A=1000(1.04)^{12}\\\\\\ A\approx 16010.32$

he then turns around and grabs that money and sticks it for another 9 years,

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
~~
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$16010.32\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semi-annually, thus twice}
\end{array}\to &2\\
t=years\to &9
\end{cases}
\\\\\\
A=16010.32\left(1+\frac{0.05}{2}\right)^{2\cdot 9}\implies A=16010.32(1.025)^{18}
\\\\\\
A\approx 24970.64$

add both amounts, and that's how much is for the whole 21 years.

6 0

3 years ago

Help me please please

aniked [119]

Answer:

The total least sale amount is $5,000,000

Step-by-step explanation:

Given as :

The base salary amount of Carmen = $125,000

The commission percentage on total sale = 4%

The performance bonus amount = $25,000

The total compensation amount last year = $350,000

Let The total sale amount = $x

According to question

Total compensation amount last year = base salary amount + percentage on total sale + performance bonus amount

I.e $350,000 = $125,000 + 4% of x + $25,000

Or, $350,000 = $150,000 + 4% of x

Or, 4% of x = $350,000 - $150,000

Or, 4% of x = $200,000

Or, × x = $200,000

Or, x =

∴ x = $5,000,000

So, The total sale amount = x = $5,000,000

Hence, The total least sale amount is $5,000,000 Answer

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A building contractor buys 60% of his cement from supplier A and 40% from supplier B. A total of 95% of the bags from A arriv

docker41 [41]

Answer: 0.665.

Step-by-step explanation:

60% of the bags are from supplier A, and 95% of them are undamaged.

40% of the bags are from supplier B, and 75% of them are undamaged.

Then, the number of undamaged bags from supplier A is:

0.6*0.95 = 0.57 or 57%

from B is:

0.4*0.75 = 0.3 or 30%

This means that the percentage of undamaged bags is:

57% + 30% = 87%.

Then, the probability that an undamaged bag is from supplier A is equal to the percentage of undamaged bags that came from supplier A (57%) and the total percentage of undamaged bags (87%) this is:

P = 57%/87% = 0.655 or 65.5%

Then the probability that an undamaged bag comes from supplier A is 0.665.

7 0

2 years ago